I have just added a page to my web site on long division. I not certain what the method on the left is called but find it a vast improvement over the method we were taught in school.
This method may require more steps but it is much easier to understand.
Let's look at the problem . Imagine I am dividing 789 widgets among 9 people.
Students can do long division without knowing all their times tables.
I can solve any problem if I know my 1,2,5, and 10 times tables. I start by giving each person 50 widgets, then 20, 10 etc.
The problem can be solved in all manner of ways.
I can start by giving each person 70 widgets or I could give them 10 widgets 7 times.
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